Understanding the Problem

* The diagonal of the screen forms the hypotenuse of a right triangle.

* The width and height of the screen are the legs of the triangle.

Using the Pythagorean Theorem

The Pythagorean Theorem states: a² + b² = c²

* a and b are the lengths of the legs of a right triangle

* c is the length of the hypotenuse

Solving the Problem

1. Identify the sides:

* a = 40 cm (width)

* b = 50 cm (height)

* c = diagonal (what we want to find)

2. Plug the values into the Pythagorean Theorem:

* 40² + 50² = c²

3. Calculate:

* 1600 + 2500 = c²

* 4100 = c²

4. Find the square root of both sides:

* √4100 = c

* c ≈ 64 cm

Answer: The length of the diagonal of the screen is approximately 64 centimeters to the nearest centimeter.